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Finding the Third Proportional to 143,913 and 215,886.38

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Solution

The third proportional to 143,913 and 215,886.38 is: 323,854.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,913 : 215,886.38 = 215,886.38 : x
  2. Step 2: Convert to fraction form
    143,913/215,886.38 = 215,886.38/x
  3. Step 3: Cross multiply
    143,913x = 215,886.38 × 215,886.38
  4. Step 4: Simplify right side
    143,913x = 46,606,926,910.64
  5. Step 5: Solve for x
    x = 46,606,926,910.64/143,913
  6. Step 6: Final answer
    x = 323,854.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.